Physics

Problem

A particle is simultaneously pulled by two forces:

\vec F_1 = 12\,\text{N}

towards east and

\vec F_2 = 9\,\text{N}

towards north-west (

45^{\circ}

west of north). A third force

\vec F_3

keeps the particle at rest. Which of the following gives the magnitude and direction of

\vec F_3

? a)

8.5\,\text{N}

directed

48^{\circ}

south of west b)

8.5\,\text{N}

directed

48^{\circ}

north of west c)

7.3\,\text{N}

directed

45^{\circ}

south of west d)

8.5\,\text{N}

directed

48^{\circ}

north of east